Sensitivity Analysis of the Penteract Constants Framework: Evidence Against Numerology
Abstract
Rigorous perturbation analysis of 7 framework constants across 6 testable predictions. Key findings: (1) Only 3 of 7 constants are effective (Fisher information ranking), reducing framework from 7-parameter to 3-parameter. (2) χ_PC is most fragile — 5% change causes fatal 6σ deviation. (3) Geometric hypothesis χ_PC = θ_lock/θ_tet improves ALL predictions by 12.9%. (4) Hidden relationships discovered: sin(θ_lock) ≈ π/4 and χ_PC/γ ≈ π. Framework passes robustness test: predictions are fragile to perturbation (opposite of curve-fitting). Related predictions paper: DOI 10.5281/zenodo.18779407.
Fields of Study & Subjects
Advanced Mathematical Theories and Applications
Mathematics and Applications
Mathematical and Computational Methods
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 26 February 2026
- Language
- EN
- Document type
- Dataset